Self-similar random process and chaotic behavior in serrated flow of high entropy alloys

Chen, Shuying; Yu, Liping; Ren, Jingli; Xie, Xie; Li, Xueping; Xu, Ying; Zhao, Guangfeng; Li, Peizhen; Yang, Fuqian; Ren, Yang; Liaw, Peter K.

doi:10.1038/srep29798

Title: Self-similar random process and chaotic behavior in serrated flow of high entropy alloys

Journal Article · Wed Jul 20 04:00:00 UTC 2016 · Scientific Reports

DOI: https://doi.org/10.1038/srep29798 · OSTI ID:1341016

Chen, Shuying ^[1]; Yu, Liping ^[2]; Ren, Jingli ^[2]; Xie, Xie ^[1]; Li, Xueping ^[2]; Xu, Ying ^[2]; Zhao, Guangfeng ^[3]; Li, Peizhen ^[3]; Yang, Fuqian ^[3]; Ren, Yang ^[4]; Liaw, Peter K. ^[1]

The Univ. of Tennessee, Knoxville, TN (United States)
Zhengzhou Univ. (China)
Univ. of Kentucky, Lexington, KY (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)

Here, the statistical and dynamic analyses of the serrated-flow behavior in the nanoindentation of a high-entropy alloy, Al_0.5CoCrCuFeNi, at various holding times and temperatures, are performed to reveal the hidden order associated with the seemingly-irregular intermittent flow. Two distinct types of dynamics are identified in the high-entropy alloy, which are based on the chaotic time-series, approximate entropy, fractal dimension, and Hurst exponent. The dynamic plastic behavior at both room temperature and 200 °C exhibits a positive Lyapunov exponent, suggesting that the underlying dynamics is chaotic. The fractal dimension of the indentation depth increases with the increase of temperature, and there is an inflection at the holding time of 10 s at the same temperature. A large fractal dimension suggests the concurrent nucleation of a large number of slip bands. In particular, for the indentation with the holding time of 10 s at room temperature, the slip process evolves as a self-similar random process with a weak negative correlation similar to a random walk.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22) - Scientific User Facilities Division; National Science Foundation (NSF); National Natural Science Foundation of China (NSFC); U.S. Army Research Laboratory - U.S. Army Research Office (ARO)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1341016

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Vol. 6; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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